Journal of Noncommutative Geometry

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Volume 14, Issue 1, 2020, pp. 251–347
DOI: 10.4171/JNCG/367

Published online: 2020-05-28

Simple stably projectionless C*-algebras with generalized tracial rank one

George A. Elliott[1], Guihua Gong[2], Huaxin Lin[3] and Zhuang Niu[4]

(1) University of Toronto, Canada
(2) Universidad de Puerto Rico, San Juan, Puerto Rico and Hebei Normal University, Shijiazhuang, China
(3) University of Oregon, Eugene, USA and East China Normal University, Shanghai, China
(4) University of Wyoming, Laramie, USA

We study a class of stably projectionless simple C*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case. A number of structural questions concerning these simple C*-algebras are studied, pertinent to the classification of separable stably projectionless simple amenable Jiang–Su stable C*-algebras.

Keywords: Simple C*-algebras, stably projectionless

Elliott George, Gong Guihua, Lin Huaxin, Niu Zhuang: Simple stably projectionless C*-algebras with generalized tracial rank one. J. Noncommut. Geom. 14 (2020), 251-347. doi: 10.4171/JNCG/367